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Finding the Fourth Proportional to 242,953.56, 364,430.28 and 130,479

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Solution

The fourth proportional to 242,953.56, 364,430.28 and 130,479 is: 195,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,953.56 : 364,430.28 = 130,479 : x
  2. Step 2: Convert to fraction form
    242,953.56/364,430.28 = 130,479/x
  3. Step 3: Cross multiply
    242,953.56x = 364,430.28 × 130,479
  4. Step 4: Simplify right side
    242,953.56x = 47,550,498,504.12
  5. Step 5: Solve for x
    x = 47,550,498,504.12/242,953.56
  6. Step 6: Final answer
    x = 195,718.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.